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- (Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of Si per unit. A reduction in price to $0.20 results in an increase in quantity demanded to 70 units. Using the midpoint formula, show that these data yield a price elasticity of 0.25. By what percentage would a 10 percent rise in the price reduce the quantity demanded, assuming price elasticity remains constant along the demand curve?The price elasticity of demand for air travel differs radically from first-class (1.3) to unrestricted coach (1.4) to restricted discount coach (1.9). What do these elasticities mean for optimal prices (fares) on a cross-country trip with incremental variable costs (marginal costs) equal to $120?If automobiles and gasoline are complements, then their cross-elasticity coefficient is a. strictly greater than 1. b. positive. c. equal to zero. d. negative.
- Suppose the demand for bicycles is given byQp = 10,000P- and the supply of bicycles is given by Qs = 0.01P3. (a) Using calculus and the given supply and demand curves, find mathematical expressions for the elasticities of demand and supply as a function of the price. Use these expressions to demonstrate that both curves have constant elasticity along their entire length. (b) Find the equilibrium price and quantity in this market mathematically.You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community where producers are able to switch back and forth between cowpea and groundnut depending on market conditions. Consequently, you were tasked by the management of Zuku and you estimated the demand function for cowpea as follows: where is the quantity of cowpea demanded in bags per month, is the average price of cowpea in Ghana Cedis, is the average price of groundnut in Ghana Cedis, and Y is the income of consumers. Assuming is initially GH¢31.00 per bag, Y is GH¢1001.50. Also that your estimated supply function for cowpea is as follows: QS = -25 + 3.5PC -1.5Pf – 0.5Pg + 0.25R Where Qs is the quantity supplied of cowpea in bags, Pc and Pg are as defined above, Pf is the price of fertilizer per bag, R is the amount of rainfall (in inches). If Pf = GH¢10, R= 40 inches and Pg= GH¢31.00 Find the resulting supply function for cowpea and determine the equilibrium price and quantity.…The market research conducted by a firm in the drinking water industry shows that the demand for water has a constant elasticity equal to − 1/? where ? is 9 a) Express the demand function in the form of a differential equation b, Find the general solution for the differential equation by expressing Q (the quantity demanded) as a function of P (the product price). c, ) Suppose that the demand for bananas has a constant elasticity equal to – 9. Explain in words (without providing any calculation) how decreasing the price would affect a banana seller’s total revenue and profits. Please help me. Thank you so much.
- 1. As an agriculture analyst for the Union of American Fruit Producers (UAFP), you are in charge of monitoring the US peach market. The market can be described by the following "calibrated" demand and supply functions: Qd = 1600-8P +8Pn Qs = 34P-102 (1) (2) where P is the price of a crate of peaches, Pn is the price for a crate of nectarines, and Qd and Q, are the quantity demanded and the quantity supplied of peaches (measured in thousands of crates). (a) Find the inverse demand and inverse supply equations. Hypothetically, how many crates of peaches should UAFP expect consumers to buy if peaches are given away free of charge in a marketing campaign? If the price of a crate of peaches was to increase, at what price would buyers no longer be willing to buy any peaches? (Hint: your previous answers will be expressions that depend on the value of P) If the price of peaches was to decrease, at what price would the quantity of peaches supplied fall to zero? (b) Assuming that P₁ = $55,…BigSwaba Corp produces virus home test kits which it sells in the market. It pays a marketing company to post Instagram images of people using the kits in the comfort of their own homes. The demand for the kits and cost of production are as follows: 1 1 Cost: C=200+=q´ +m 1/2 Demand: p=48+m/: Where m is the firm's marketing expenditure. Assume the CEO of BigSwaba asks you to help the company maximize profit. а. How many kits should the company sell and at what price? b. What is the demand elasticity at this output level? C. What should their marketing budget be? Assume the CEO of BigSwaba realizes her bonus will determined not by profits, but by the firm's revenue. Maintaining the same marketing budget as in part a: d. What quantity should the firm produce to maximize revenue?– A certain cleaning company cleans professional offices and believes its staff can clean up to 300 office units a week at a labor and supply cost of $58 per unit. Preliminary pricing surveys indicate that if that if the company charges $100 per unit, it will have clients for 300 units. For every $5 price increase it can expect a demand of 10 fewer units. Assume the demand, s, is a linear function of price p. Find an equation for demand as a function of price. Find the Revenue and Cost functions, both of which are dependent on price p. Write the Profit function. Using Desmos, graph the Revenue, Cost, and Profit functions on the same coordinate plane. Label the axes and the functions and use an appropriate scale. Find the break-even points graphically and confirm algebraically. Label the regions of profit and loss on the graph. Algebraically find the price that results in a maximum profit. Conclusion: A price of $_________ results in a quantity of _____________ units…
- When the U.S. government announced that a domestic mad cow was found in December 2003, analystsestimated that domestic supplies would increase inthe short run by 10.4% as many other countriesbarred U.S. beef. An estimate of the price elasticity of beef demand is (Henderson, 2003).Assuming that only the domestic supply curveshifted, how much would you expect the price tochange? (Hint: See the discussion of price flexibilityin the application “The Big Freeze.”)Suppose the income elasticity of demand for ProductZ is -0.8 and the cross price elasticity of demand of Product Z with respect to price of Product M is 2.0. Alex owns a factory producing Product Z. a) State and explain the type of good Product Z is. b) Assuming price of Product Z remains unchanged, state and explain using relevant calculations, specifically how the total quantity demanded of Product Z will be affected when the income of the population decreases by 10%, and the price of Product M increases by 15%.Consider the market for full-sized sports utility vehicle. Please box in mathematical solutions. Suppose the following equations describe market demand and market supply for these vehicles:Inverse Demand Function: MB = 180,000–QdMarginal Cost Function:MC = 0.25 Qs a.Determine the market equilibrium price and quantity and denote them by P0and Q0. Show your answer both graphicallyand mathematically. No lazy plotting; be accurate. Use larger graphs for clarity. b.What is total surplus at this equilibrium? Calculate surplus numerically as well as indicate the area on the graph that corresponds with total surplus. part a